Dimensions

The conjectures of [3] predict the dimensions of the spaces of cusp forms.
For an alternative source for the dimensions we refer to a paper by
Taïbi [8]; these dimensions are not conditional and agree with our values as far as we checked.
We also refer to Taïbi's webpage.
For given pair $(j,k)$ you will find the dimensions of $S_{j,k,l}$ for $l$ in the range
$4\leq l \leq (86-j-2k)/3$.